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Finding the Third Proportional to 49,989 and 106,602

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Solution

The third proportional to 49,989 and 106,602 is: 227,329.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,989 : 106,602 = 106,602 : x
  2. Step 2: Convert to fraction form
    49,989/106,602 = 106,602/x
  3. Step 3: Cross multiply
    49,989x = 106,602 × 106,602
  4. Step 4: Simplify right side
    49,989x = 11,363,986,404
  5. Step 5: Solve for x
    x = 11,363,986,404/49,989
  6. Step 6: Final answer
    x = 227,329.74

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.